Interacting Brownian motions in infinite dimensions with logarithmic interaction potentials

DOI10.1214/11-AOP736zbMath1271.60105arXiv0902.3561MaRDI QIDQ1942110

Hirofumi Osada

Publication date: 15 March 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3561

zbMATH Keywords

random matricesdiffusionsinteracting Brownian particlesDirichlet formslogarithmic potentialsinfinitely many particle systemsDyson's modelCoulomb potentialsGinibre random point field

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

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